Symbolic Dynamics for Normally Hyperbolic Foliations
Pablo D. Carrasco
TL;DR
This paper develops symbolic dynamics tools to analyze hyperbolic directions in partially hyperbolic diffeomorphisms, extending techniques from uniformly hyperbolic systems to a broader class.
Contribution
It introduces a novel approach applying symbolic dynamics to study hyperbolic structures in partially hyperbolic systems, bridging a gap in existing methods.
Findings
New symbolic dynamics framework for partially hyperbolic diffeomorphisms
Extension of hyperbolic system analysis techniques
Enhanced understanding of hyperbolic directions in complex systems
Abstract
We introduce some tools of symbolic dynamics to study the hyperbolic directions of partially hyperbolic diffeomorphisms, emulating the well known methods available for uniformly hyperbolic systems.
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